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Introduction to Lorentzian differential geometry

Grant number: 14/09781-8
Support type:Scholarships in Brazil - Scientific Initiation
Effective date (Start): August 01, 2014
Effective date (End): July 31, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal Investigator:Alexandre Lymberopoulos
Grantee:Ivo Terek Couto
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil


In this project the student will develop the local geometry of curves and surfaces in 3-dimensional Lorentz-Minkowski space. This student has some background on local theory of curves in 3-dimensional Euclidean space and part of this project is to compare results achieved in both ambient spaces. After that we start to study the local theory of surfaces in both ambient spaces emphasizing the analogies and differences between them. As an auxiliary tool we intend to use some computer algebra system like Sage, Maple or Mathematica. (AU)